Transformations Using Function Notation

Which statement best represents the transformation shown here (from red to purple)?

• Vertical compression

• Vertical stretching

• Horizontal compression

• Horizontal stretching

Tags

CCSS.HSF.BF.B.3

Which function is graphed?

• f(x) = -|2x - 3| + 5

• f(x) = -|x + 5| - 3

• f(x) = -|2x + 6| + 5

• f(x) = -2|x + 5| - 3

Tags

CCSS.HSF-IF.C.7D

What piece of information does k identify in the following equation?

y = a(x - h)² + k

• y value of the vertex

• x value of the vertex

• Direction (facing up or down)

• x-intercept

• left 1 unit, down 2 units, vertical stretch by 3

• left 1 unit, up 2 units, vertical stretch by 3

• left 1 unit, up 2 units, vertical stretch by 1/3

• right 1 unit, up 2 units

Tags

CCSS.HSF.BF.B.3

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the equation below from the parent function of y = I x I

• reflected across x-axis, vertical stretch by 2, right 3, up 3

• reflected across x-axis, vertical stretch by 2, left 3 up 3.

• reflected across x-axis, vertical compression by 2, right 3, up 3

• reflected across the x-axis, vertical compression by 2, left 3, up 3

Which function is graphed?

• f(x) = 2|x + 2| -4

• f(x) = 2|x - 4| + 2

• f(x) = |x + 2| - 4

• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

A student graphed f(x) = x and g(x) = f(x) +3 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

• The graph of f is shifted up 3 units to create the graph of g.

• The graph of f is steeper than the graph of g.

• The graph of f is shifted 3 units down to create the graph of g.

• Th graph of f is less steep than the graph of g.

Describe the transformations of the following function: f(x) = |x+6| - 4

• Left 6, Down 4

• Right 6, Down 4

• Right 6, Up 4

• Left 6, Up 4

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)